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Finding the Fourth Proportional to 4,488.92, 6,737 and 1,893.68

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Solution

The fourth proportional to 4,488.92, 6,737 and 1,893.68 is: 2,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.92 : 6,737 = 1,893.68 : x
  2. Step 2: Convert to fraction form
    4,488.92/6,737 = 1,893.68/x
  3. Step 3: Cross multiply
    4,488.92x = 6,737 × 1,893.68
  4. Step 4: Simplify right side
    4,488.92x = 12,757,722.16
  5. Step 5: Solve for x
    x = 12,757,722.16/4,488.92
  6. Step 6: Final answer
    x = 2,842.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.